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Abstract

The performance of most widespread surface integral equation (SIE) formulations with the method of moments (MoM) are studied in the context of plasmonic materials. Although not yet widespread in optics, SIE-MoM approaches bring important advantages for the rigorous analysis of penetrable plasmonic bodies. Criteria such as accuracy in near and far field calculations, iterative convergence and reliability are addressed to assess the suitability of these formulations in the field of plasmonics.

Figures (9)

Normalized RMS error (erms) of the total near field calculation at λ0 = 548.6 nm vs. the number of unknowns (mesh size) for spheres with radius (up) r = λ0/2 and (down) r = λ0/4 made of (left) gold, (center) silver, and (right) aluminum. The spheres are illuminated by anx^polarized plane wave with θinc = 180°. The fields are calculated on centered square XY planes of side 4r with 100×100 points resolution.

Normalized RMS error (erms) of the total near field calculation at λ0 = 548.6 nm vs. the number of unknowns (mesh size) for spheres with radius (up) r = λ0/8 and (down) r = λ0/16 made of (left) gold, (center) silver, and (right) aluminum. The spheres are illuminated by anx^polarized plane wave with θinc = 180°. The fields are calculated on centered square XY planes of side 4r with 100×100 points resolution.

Total near electric field distribution (V/m) inside and outside a λ0/2 radius gold sphere in vacuum computed by the PMCHWT-MoM approach for a mesh size of λ0/40 in the XZ and YZ planes vs. the Mie’s series analytical reference. The spheres are illuminated by anx^polarized plane wave with θinc = 180°. Fields inside the spheres are scaled up by a factor of 4 for visualization purposes.

Total near electric field distribution (V/m) inside and outside a λ0/8 radius gold sphere in vacuum computed by the PMCHWT-MoM approach for a mesh size of λ0/160 in the XZ and YZ planes vs. the Mie’s series analytical reference. The spheres are illuminated by anx^polarized plane wave with θinc = 180°. Fields inside the spheres are scaled up by a factor of 4 for visualization purposes.